The 22-year-old is currently away with the Team GB Olympic football team, but says he is looking forward to working with the Portuguese coach.
He told reporters: "It is a great appointment but it was a pretty bold move by the club to sack Harry Redknapp.
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"But the chairman's intentions are to take the club forward, and everyone is fully behind him and Villas-Boas as well.
"I am pretty unfortunate not to have met [Villas-Boas] yet because I am away here, but I am looking forward to going back and meeting him and getting to work with him."
Rose is currently with Team GB ahead of the London Olympics this summer, despite a season of limited appearances for Tottenham.
The midfielder, who can also play as a left-back, was scheduled to leave the club on loan this summer, but with the arrival of Villas-Boas, is now uncertain as to where his immediate future lies.
"We'll see what happens when I get back," he added.
"It had already been agreed last season that I could go out on loan.
"Obviously things have changed with Harry Redknapp being sacked, so I will have to see what happens when I get back."